A computational study of some rheological influences on the “splashing experiment”

M. F. Tome, S. McKee, K. Walters

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In various attempts to relate the behaviour of highly-elastic liquids in complex flows to their rheometrical behaviour, obvious candidates for study have been the variation of shear viscosity with shear rate, the two normal stress differences N-1 and N-2, especially N-1, the extensional viscosity, and the dynamic moduli G' and G ''. In this paper, we shall confine attention to 'constant-viscosity' Boger fluids, and, accordingly, we shall limit attention to N-1, eta(E), G' and G ''.
We shall concentrate on the "splashing" problem (particularly that which arises when a liquid drop falls onto the free surface of the same liquid). Modern numerical techniques are employed to provide the theoretical predictions. We show that high eta(E) can certainly reduce the height of the so-called Worthington jet, thus confirming earlier suggestions, but other rheometrical influences (steady and transient) can also have a role to play and the overall picture may not be as clear as it was once envisaged. We argue that this is due in the main to the fact that splashing is a manifestly unsteady flow. To confirm this proposition, we obtain numerical simulations for the linear Jeffreys model. (C) 2010 Elsevier B.V. All rights reserved.

LanguageEnglish
Pages1258-1264
Number of pages7
JournalJournal of Non-Newtonian Fluid Mechanics
Volume165
Issue number19-20
DOIs
Publication statusPublished - Oct 2010

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splashing
Liquid
viscosity
Viscosity
Liquids
shear
Experiment
Shear Viscosity
Shear viscosity
Experiments
unsteady flow
Unsteady Flow
Unsteady flow
liquids
Numerical Techniques
Proposition
Free Surface
Shear deformation
suggestion
Modulus

Keywords

  • boger fluids
  • splashing
  • rheometry
  • constitutive modeling
  • computational rheology
  • free-surface flows

Cite this

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abstract = "In various attempts to relate the behaviour of highly-elastic liquids in complex flows to their rheometrical behaviour, obvious candidates for study have been the variation of shear viscosity with shear rate, the two normal stress differences N-1 and N-2, especially N-1, the extensional viscosity, and the dynamic moduli G' and G ''. In this paper, we shall confine attention to 'constant-viscosity' Boger fluids, and, accordingly, we shall limit attention to N-1, eta(E), G' and G ''. We shall concentrate on the {"}splashing{"} problem (particularly that which arises when a liquid drop falls onto the free surface of the same liquid). Modern numerical techniques are employed to provide the theoretical predictions. We show that high eta(E) can certainly reduce the height of the so-called Worthington jet, thus confirming earlier suggestions, but other rheometrical influences (steady and transient) can also have a role to play and the overall picture may not be as clear as it was once envisaged. We argue that this is due in the main to the fact that splashing is a manifestly unsteady flow. To confirm this proposition, we obtain numerical simulations for the linear Jeffreys model. (C) 2010 Elsevier B.V. All rights reserved.",
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A computational study of some rheological influences on the “splashing experiment”. / Tome, M. F.; McKee, S.; Walters, K.

In: Journal of Non-Newtonian Fluid Mechanics, Vol. 165, No. 19-20, 10.2010, p. 1258-1264.

Research output: Contribution to journalArticle

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